Skip to main content

On shape dependence and RG flow of entanglement entropy

Author(s): Klebanov, Igor R; Nishioka, Tatsuma; Pufu, Silviu S; Safdi, Benjamin R

To refer to this page use:
Abstract: We use a mix of field theoretic and holographic techniques to elucidate various properties of quantum entanglement entropy. In (3 + 1)-dimensional conformal field theory we study the divergent terms in the entropy when the entangling surface has a conical or a wedge singularity. In (2 + 1)-dimensional field theory with a mass gap we calculate, for an arbitrary smooth entanglement contour, the expansion of the entropy in inverse odd powers of the mass. We show that the shape-dependent coefficients that arise are even powers of the extrinsic curvature and its derivatives. A useful dual construction of a (2 + 1)-dimensional theory, which allows us to exhibit these properties, is provided by the CGLP background. This smooth warped throat solution of 11-dimensional supergravity describes renormalization group flow from a conformal field theory in the UV to a gapped one in the IR. For this flow we calculate the recently introduced renormalized entanglement entropy and con firm that it is a monotonic function.
Publication Date: Jul-2012
Electronic Publication Date: 2-Jul-2012
Citation: Klebanov, Igor R, Nishioka, Tatsuma, Pufu, Silviu S, Safdi, Benjamin R. (2012). On shape dependence and RG flow of entanglement entropy. JOURNAL OF HIGH ENERGY PHYSICS, 10.1007/JHEP07(2012)001
DOI: doi:10.1007/JHEP07(2012)001
ISSN: 1029-8479
Type of Material: Journal Article
Version: Author's manuscript

Items in OAR@Princeton are protected by copyright, with all rights reserved, unless otherwise indicated.